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Mathematics

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Selected Works

Selected Works

2004

Articles 1 - 5 of 5

Full-Text Articles in Entire DC Network

Group Actions In Number Theory, Tyler J. Evans Jul 2004

Group Actions In Number Theory, Tyler J. Evans

Tyler Evans

Students having had a semester course in abstract algebra are
exposed to the elegant way in which one can use the theory of finite
cyclic groups to derive familiar results from Number Theory.
We present 3 examples suitable for a second semester course in
algebra.
Each uses the notion of the action of a group on a set.
This work was done with Ben Holt, who, at the time, was an HSU
undergraduate student taking second semester algebra

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Bounding The Firing Synchronization Problem On A Ring, André Berthiaume, Todd Bittner, Ljubomir Perković, Amber Settle, Janos Simon Jun 2004

Bounding The Firing Synchronization Problem On A Ring, André Berthiaume, Todd Bittner, Ljubomir Perković, Amber Settle, Janos Simon

Amber Settle

In this paper we improve the upper and lower bounds on the complexity of solutions to the firing synchronization problem on a ring. In this variant of the firing synchronization problem the goal is to synchronize a ring of identical finite automata. Initially, all automata are in the same state except for one automaton that is designated as the initiator for the synchronization. The goal is to define the set of states and the transition function for the automata so that all machines enter a special fire state for the first time and simultaneously during the final round of the …

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Simplification And Strengthening Of Weyl's Definition Of Asymptotic Equal Distribution Of Two Families Of Finite Sets, William F. Trench Dec 2003

Simplification And Strengthening Of Weyl's Definition Of Asymptotic Equal Distribution Of Two Families Of Finite Sets, William F. Trench

William F. Trench

No abstract provided.

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On Multivariate Abel-Gontscharoff Interpolation, Tian-Xiao He Dec 2003

On Multivariate Abel-Gontscharoff Interpolation, Tian-Xiao He

Tian-Xiao He

By using Gould's annihilation coefficients, we obtain an explicit fundamental polynomials of Multivariate Abel-Gontscharoff Interpolation and its remainder expression.

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Using Dynamic Information In The Supply Network, Jeffrey Barker Dec 2003

Using Dynamic Information In The Supply Network, Jeffrey Barker

Jeffrey Barker

No abstract provided.

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